Sinha, seeded 5/8, got the better of state rival Sumeet Yadav in round three and then got past Abhishek Agarwal, also from the host state, with a hard-fought 11-9 11-8 11-9 scoreline to enter the last eight stage.
Young Shanay Sanghavi, from hosts Bombay Gymkhana, went down fighting in the second round against professional Ganesh Kadam. He lost 9-11 9-11 11-9 10-12.
Shah siblings Abhimanyu and Chaitanya, also of Bombay Gymkhana, scored impressive wins to make the pre-quarters.
Jindal Academy players Shashi Pandey, Laxman Joshi and Aishwarya Singh also sailed into the pre-quarter-finals.
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Vijay Jangra of Mayo College, Ajmer, Manish Chavan, Baban More, Sachin Jadhav and Sanjay Pawar were the significant winners who entered the Professionals' quarter- finals.
West Bengal's Sourav Ghosal, India's highest world ranked (15) player, is the no. 1 seed in the tournament who is drawn to meet second seed Harinder Pal Sandhu (world no. 80) of Tamil Nadu in the final.
In the women's competition former India no. 1 Joshna Chinappa (world no. 26) of Tamil Nadu is the no. 1 seed followed by Urwashi Joshi of Maharashtra.
Results: Men's open (3rnd round): Abhinav Sinha bt Sumeet Yadav 11-5 11-3 11-2; Abhimanyu Shah bt Aditya Maheshwari 11-5 11-7 11-3; Shashi Pandey bt Aditya Nahata 11-4 11-5 11-8; Chaitanya Shah bt Harshvardhan Wadhwa 9-11 11-3 11-3 11-7; Laxman Joshi bt Karan Mirchandani 13-11 11-8 5-11 11-6; Riyan Bhatia bt Urmil Sodha 11-5 13-11 11-3; Devchand Rai bt Varun Kumar 11-4 1-11 11-1 11-6; Aishwarya Singh bt Arpit Rao 11-1 11-4 11-3; Abhishek Agarwal bt Pramod Kumar 11-3 11-6 11-5.